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We are given the following information:

1. Simple interest is applied in three periods:
   - 6% p.a. for the first 4 years,
   - 8% p.a. for the next 3 years,
   - 10% p.a. for the remaining period (beyond 7 years, making it 5 years).

2. Total simple interest earned after 12 years is ₹ 5880.

We need to find the principal amount \( P \) that was borrowed.

### Formula for Simple Interest:
\[
SI = \frac{P \times R \times T}{100}
\]
Where:
- \( SI \) = Simple Interest
- \( P \) = Principal amount (unknown)
- \( R \) = Rate of interest
- \( T \) = Time period

We can calculate the interest for each of the three periods and then sum them up to equal ₹ 5880.

### Interest for each period:
1. **First 4 years at 6% p.a.**:
   \[
   SI_1 = \frac{P \times 6 \times 4}{100} = \frac{24P}{100} = 0.24P
   \]

2. **Next 3 years at 8% p.a.**:
   \[
   SI_2 = \frac{P \times 8 \times 3}{100} = \frac{24P}{100} = 0.24P
   \]

3. **Remaining 5 years at 10% p.a.**:
   \[
   SI_3 = \frac{P \times 10 \times 5}{100} = \frac{50P}{100} = 0.50P
   \]

### Total Simple Interest:
\[
SI_{total} = SI_1 + SI_2 + SI_3 = 0.24P + 0.24P + 0.50P = 0.98P
\]
We are told that the total simple interest earned is ₹ 5880, so:
\[
0.98P = 5880
\]
Solving for \( P \):
\[
P = \frac{5880}{0.98} = 6000
\]

Thus, the principal amount Wasim borrowed is **₹ 6000**.

The correct answer is **(A) ₹ 6000**.

Would you like more details, or do you have any questions?

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Here are five related questions for further practice:

1. If the interest rates for each period were the same (6% for all 12 years), how much would Wasim have earned as simple interest?
2. How would the total interest change if the interest rate for the final 5 years were 12% instead of 10%?
3. What would be the total simple interest if Wasim borrowed ₹ 10,000 for the same period under the same conditions?
4. What is the formula for calculating simple interest when the rate changes over different periods?
5. How much time would it take to earn ₹ 5880 in simple interest if the rate was a flat 7% p.a.?

**Tip**: In simple interest problems, breaking the timeline into periods based on different interest rates helps simplify calculations.

Wasim borrowed some money at 6% p.a. simple interest for the first four years, 8% p.a. for the next three years and 10% p.a. for a period beyond 7 years. At the end of 12 years, he earned ₹5880 as simple interest. How much money did he borrow?

Learn how to calculate the principal amount Wasim borrowed when he earned ₹5880 as simple interest at varying rates: 6% for 4 years, 8% for 3 years, and 10% for 5 years. This problem is ideal for students in Grades 9-10.

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